Finding the Third Proportional to 10,180 and 17,174

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 17,174 = 17,174 : x
2. Step 2: Convert to fraction form
   10,180/17,174 = 17,174/x
3. Step 3: Cross multiply
   10,180x = 17,174 × 17,174
4. Step 4: Simplify right side
   10,180x = 294,946,276
5. Step 5: Solve for x
   x = 294,946,276/10,180
6. Step 6: Final answer
   x = 28,973.11